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Finding the Third Proportional to 45,354 and 97,266

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Solution

The third proportional to 45,354 and 97,266 is: 208,596.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,354 : 97,266 = 97,266 : x
  2. Step 2: Convert to fraction form
    45,354/97,266 = 97,266/x
  3. Step 3: Cross multiply
    45,354x = 97,266 × 97,266
  4. Step 4: Simplify right side
    45,354x = 9,460,674,756
  5. Step 5: Solve for x
    x = 9,460,674,756/45,354
  6. Step 6: Final answer
    x = 208,596.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.